rrhb,
I do not have a Kossel mini however it sounds as though you have an alignment issue with one of the pulleys. Either one is off center of the other one or your pulley are at an angle to each other. If everything is aligned then the belt should stay exactly where it is and not wander off.
Here is a quick test to determine whats off...
Center the belt on one of the pulleys and then tighten it up. Check to see where it is on the second pulley. Try and center the second pulley as best as possible. Having one slightly off center of the other shouldn't be an issue as long as the belt isnt rubbing. Now spin the belt so the pulley fully rotates 10 to 20 times and watch the belts for any side movement (walking towards one end or the other).
If the belts stay where they were aligned then it is a simple matter of centering the pulleys. If the belt tends to walk towards the flange then you have an alignment issue. This means that one of the pulleys is at an angle to the other. Check to see if the motor is tight or has debris between the mount and motor, check the idler side for any movement or miss alignment / bent parts etc...